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2267056 = 241121171
BaseRepresentation
bin1000101001011110110000
311021011211001
420221132300
51040021211
6120331344
725161331
oct10513660
94234731
102267056
111309300
12913b54
13614b6c
14430288
152ebac1
hex2297b0

2267056 has 30 divisors (see below), whose sum is σ = 4832156. Its totient is φ = 1029600.

The previous prime is 2267053. The next prime is 2267071. The reversal of 2267056 is 6507622.

It is not an unprimeable number, because it can be changed into a prime (2267051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1351 + ... + 2521.

22267056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2267056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416078).

2267056 is an abundant number, since it is smaller than the sum of its proper divisors (2565100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2267056 is a wasteful number, since it uses less digits than its factorization.

2267056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2267056 is about 1505.6745996396. The cubic root of 2267056 is about 131.3673429806.

Subtracting from 2267056 its product of nonzero digits (5040), we obtain a square (2262016 = 15042).

The spelling of 2267056 in words is "two million, two hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1171 1936 2342 4684 9368 12881 18736 25762 51524 103048 141691 206096 283382 566764 1133528 2267056